** Next:** IMPROVED McCLELLAN FILTERS
** Up:** Palacharla and Biondi: 3-D
** Previous:** Introduction

The explicit 3-D migration techniques consist of two stages. In the
first stage, the filters for two-dimensional extrapolation are built
and stored in a table.
In the second stage the coefficients of the extrapolation filters
are used along with the McClellan filters in the Chebyshev
filter structure to extrapolate the
wavefield in three dimensions.
We design our extrapolation filters for the migration using the
following equation,

| |
(1) |

and windowing techniques Nautiyal et al. (1993); Parks and Burrus (1987). We used a gaussian
taper in the space domain.
Although the filters are not optimized for
a given dip and velocity model, they are designed to be stable.
The McClellan extrapolation requires a look-up table of
filters parametrized in terms of .The filters are parametrized
for , so for a given *v*(*z*) velocity model, the
filters are designed for the range to
.

** Next:** IMPROVED McCLELLAN FILTERS
** Up:** Palacharla and Biondi: 3-D
** Previous:** Introduction
Stanford Exploration Project

11/16/1997